2009 AIME I Problems/Problem 1: Difference between revisions
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== Problem == | == Problem == | ||
Call a 3-digit number geometric if it has distinct digits which, when read from left to right, form a geometric sequence. Find the difference between the largest and smallest geometric numbers. | Call a <math>3</math>-digit number ''geometric'' if it has <math>3</math> distinct digits which, when read from left to right, form a geometric sequence. Find the difference between the largest and smallest geometric numbers. | ||
== Solution == | == Solution == | ||
The largest geometric number is 964 and the smallest is 124. Thus the difference is 964 - 124 = 840. | The largest geometric number is 964 and the smallest is 124. Thus the difference is 964 - 124 = 840. | ||
Revision as of 19:16, 19 March 2009
Problem
Call a 
-digit number geometric if it has distinct digits which, when read from left to right, form a geometric sequence. Find the difference between the largest and smallest geometric numbers.
Solution
The largest geometric number is 964 and the smallest is 124. Thus the difference is 964 - 124 = 840.
